Описание: This book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the computer simulation of magnetic fields originating from the manufacturing process. Uncertainties are quantified by approximating a stochastic reformulation of the governing partial differential equation, demonstrating how statistics of physical quantities of interest, such as Fourier harmonics in accelerator magnets, can be used to achieve robust designs. The book covers a number of key methods and results such as: a stochastic model of the geometry and material properties of magnetic devices based on measurement data; a detailed description of numerical algorithms based on sensitivities or on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators.
Описание: This book reviews a 5-year effort to develop methods and procedures for reducing uncertainties typical of numerical flow simulations. Covers simulation accuracy, turbulence modeling, methods for handling uncertainties of geometry and grid deformation and more.
Описание: This book reviews a 5-year effort to develop methods and procedures for reducing uncertainties typical of numerical flow simulations. Covers simulation accuracy, turbulence modeling, methods for handling uncertainties of geometry and grid deformation and more.
Автор: N.V. Banichuk; Pekka Neittaanm?ki Название: Structural Optimization with Uncertainties ISBN: 9400731116 ISBN-13(EAN): 9789400731110 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text details new ways to formulate problems of structural optimization with incomplete information and solution techniques. It is mostly devoted to the minimax approach using worst case scenario, but it also covers mixed probabilistic guaranteed approach.
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